top second box. medians! to the left point of concurrency location it will always be located inside...
TRANSCRIPT
The first point of concurrency is the
CENTROID
Top second box
The centroid is the point where the __________s of the
triangle intersect. (next box)
MEDIANS!To the left
Point of Concurrency Location
It will always be located inside the triangle, because you draw a median from the midpoint of the side to the angle opposite that side.
Special Features of the CENTROID
-It is referred to as the “weighted center” or “balancing point” of a triangle.
Talk with the person sitting next to you about how you
will remember it.(Someone volunteer to share your answer
with the class)
The second point of concurrency is the
INCENTER
The incenter is the point where the __________s of the
triangle intersect. (next box)
Angle BisectorsTo the left
Point of Concurrency Location
It will always be located inside the triangle, because you are bisecting the interior angles, inside the triangle.
ANGLE BISECTOR
ANGLE BISECTOR
ANGLE BISECTOR
INCENTER
G
I
H
Special Features of the INCENTER-Equidistant from the sides of the triangle
-It is the center of a circle that inscribes the triangle. Like this:
Talk with the person sitting next to you about how you
will remember it.(Someone volunteer to share your answer
with the class)
The third point of concurrency is the
CIRCUMCENTER
The circumcenter is the point where the __________s of the triangle intersect.
Perpendicular Bisectors
Point of Concurrency Location
ANSWER: If it is an ACUTE : INSIDEIf it is a right : It will be ON the hypotenuse of the triangle because perpendicular lines form right angles.If it is an obtuse : it will be OUTSIDE
Perpendicular bisector
Perpendicular bisector
Perpendicular bisector
CIRCUMCENTER
Special Features of the CIRCUMCENTER
-Equidistant from the vertices of the triangle
-It is the center of a circle that circumscribes the triangle. Like this:
Talk with the person sitting next to you about how you
will remember it.(Someone volunteer to share your answer
with the class)
The fourth point of concurrency is the
ORTHOCENTER
The orthocenter is the point where the __________s of the triangle intersect.
Altitudes
Point of Concurrency Location
ANSWER: If it is an ACUTE : INSIDEIf it is a right : It will be ON the vertex of the 90º angleIf it is an obtuse : it will be OUTSIDE
Special Features of the ORTHOCENTER
-Can be used to find the area of a triangle
Talk with the person sitting next to you about how you
will remember it.(Someone volunteer to share your answer
with the class)